A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay

被引：23
|
作者：
Zhang, Dian [1 ]
Cheng, Jun [1 ,2 ]
Ahn, Choon Ki [3 ]
Ni, Hongjie [4 ]
机构：
[1] Qingdao Univ Sci & Technol, Sch Automat & Elect Engn, Qingdao 260061, Shandong, Peoples R China
[2] Hubei Univ Nationalities, Sch Sci, Enshi 445000, Hubei, Peoples R China
[3] Korea Univ, Sch Elect Engn, Seoul 136701, South Korea
[4] Zhejiang Univ Technol, Dept Automat, Hangzhou 310023, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 342卷
基金：
中国国家自然科学基金;
关键词：
Semi-Markovian jump system; Stochastic stability; Time-varying delay; Reciprocally convex inequality; H-INFINITY CONTROL; SLIDING MODE CONTROL; NEURAL-NETWORKS; EXPONENTIAL STABILITY; QUANTIZED FEEDBACK; SWITCHING SYSTEMS; DYNAMICS ANALYSIS; SYNCHRONIZATION; CRITERIA; SUBJECT;
D O I：
10.1016/j.amc.2018.09.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper addresses the stochastic stability and stabilization problems for a class of semi-Markovian jump systems (SMJSs) with time-varying delay, where the time-varying delay tau(t) is assumed to satisfy tau 1 <= tau(t) <= tau(2). Based on the flexible terminal approach, the timevarying delay t(t) is first transformed such that tau(1)(t) <= tau(t) <= tau 2 (t). By utilizing a novel semi-Markovian Lyapunov Krasoviskii functional (SMLKF) and an improved reciprocally convex inequality (RCI), sufficient conditions are established to guarantee a feasible solution. Two illustrated examples are shown the effectiveness of the main results. (c) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：191 / 205
页数：15
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